We introduce the multivariate Ornstein-Uhlenbeck process, solve it analytically, and discuss how it generalizes a vast class of continuous-time and discretetime multivariate processes. Relying on the simple geometrical interpretation of the dynamics of the Ornstein-Uhlenbeck process we introduce cointegration and its relationship to statistical arbitrage. We illustrate an application to swap co...

A fund’s performance is usually compared to the performance of an index or other funds. If a fund trails the benchmark, the fund manager is often replaced. We argue that this may lead to excessive risk-taking if fund managers differ in ability and have the opportunity to take excessive risk. To match the benchmark, fund managers may increase the risk of their portfolio even if this decreases th...

This paper derives and analyzes dynamic timing strategies of a fund manager with private information. Endogenous timing strategies generated by various information structures and skills, and associated fund styles, are identified. Endogenous fund returns are characterized in the public information of an uninformed observer. Timing components are identified. The paper provides foundations for re...

Owner-managers of private companies are often highly underdiversified. We investigate the consequences of underdiversification at the company level. There is a strong positive relationship between underdiversification, measured as the share of personal net worth invested in the company, and profitability, measured as the return on equity. The analysis identifies two causes for this underdiversi...

An information transaction entails the purchase of information. Formally, it consists of an information structure together with a price. We develop an index of the appeal of information transactions, which is derived as a dual to the agent’s preferences for information. The index of information transactions has a simple analytic characterization in terms of the relative entropy from priors to p...

This note explores the link between anticipated information and a preference for liquidity in investment choices. Given a subjective ordering of investment portfolios by their liquidity, we identify a sufficient condition under which the prospect of finer resolution of uncertainty creates a preference for more liquid positions. We then show how this condition might arise naturally in some stand...